%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO653-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 19:44:47 EDT 2022
% Result : Unsatisfiable 1.07s 1.28s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 10 unt; 14 nHn; 21 RR)
% Number of literals : 116 ( 0 equ; 74 neg)
% Maximal clause size : 27 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_102,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(U),suc(X))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(Y))
| ~ iLEQ(suc(X),suc(Y))
| 'E'(f(U),f(suc(U)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_102) ).
cnf(clause_1719,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'E'(f(X),f(suc(suc(X))))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1719) ).
cnf(clause_1057,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1057) ).
cnf(clause_2036,axiom,
'LE'(f(X),s('0')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2036) ).
cnf(clause_1983,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1983) ).
cnf(51,plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_1983,clause_2036]) ).
cnf(clause_148,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_148) ).
cnf(56,plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_148,clause_2036]) ).
cnf(clause_1836,axiom,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(suc(suc(Y)))))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'(f(U),f(suc(suc(U))))
| ~ 'E'(f(Z),f(suc(suc(Z))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(suc(suc(U)))))
| ~ 'E'('0',f(suc(suc(U))))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'('0',f(suc(suc(suc(Z)))))
| ~ iLEQ(suc(Y),suc(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1836) ).
cnf(clause_1528,axiom,
( ~ 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1528) ).
cnf(62,plain,
( 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_1528,clause_2036]) ).
cnf(clause_1384,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(suc(suc(U))))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(U),suc(X))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(X),suc(Y))
| 'E'(f(U),f(suc(suc(U))))
| 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),f(suc(suc(Y))))
| 'E'(f(Z),f(suc(suc(Z)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1384) ).
cnf(clause_38,axiom,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_38) ).
cnf(79,plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_38,clause_2036]) ).
cnf(clause_972,axiom,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(X))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_972) ).
cnf(clause_354,axiom,
( ~ 'E'('0',f(X))
| ~ 'E'('0',f(suc(X)))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_354) ).
cnf(95,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_1057,56]) ).
cnf(96,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_1057,51]) ).
cnf(97,plain,
'E'('0',f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_1057,79]) ).
cnf(98,plain,
'E'('0',f(suc(suc(suc(z))))),
inference('HYPERRESOLVE',[status(thm)],[clause_1057,62]) ).
cnf(99,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_354,96,95]) ).
cnf(102,plain,
'E'(f(z),f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_102,99,96,99,96,95,95,95,96,99,96,95]) ).
cnf(103,plain,
( 'E'(f(z),f(suc(suc(z))))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_1719,102,97,96,95]) ).
cnf(104,plain,
'E'(f(z),f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_1384,103,96,103,97,96,97,95,95,95,96,102,97,102,102,103,96,95,97,102]) ).
cnf(105,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_972,104,98,96,97,95,102]) ).
cnf(106,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_1836,104,98,96,98,97,96,97,95,95,95,104,96,104,104,102,97,102,102,96,95,98,97,102,98]),105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO653-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 11:43:43 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T11:43:43
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-09T11:43:43
% 1.07/1.28
% 1.07/1.28
% 1.07/1.28 #||
% 1.07/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.28 % SZS output start Refutation
% See solution above
% 1.07/1.28 ||#
% 1.07/1.28
% 1.07/1.28 ; Summary of computation:
% 1.07/1.28 ; 163 formulas have been input or derived (from 99 formulas).
% 1.07/1.28 ; 106 (65%) were retained. Of these,
% 1.07/1.28 ; 6 ( 6%) were simplified or subsumed later,
% 1.07/1.28 ; 100 (94%) are still being kept.
% 1.07/1.28 ;
% 1.07/1.28 ; Run time in seconds excluding printing time:
% 1.07/1.28 ; 0.114 14% Read assertion file (1 call)
% 1.07/1.28 ; 0.033 4% Assert (90 calls)
% 1.07/1.28 ; 0.016 2% Process new row (103 calls)
% 1.07/1.28 ; 0.419 51% Resolution (196 calls)
% 1.07/1.28 ; 0.016 2% Paramodulation (98 calls)
% 1.07/1.28 ; 0.000 0% Factoring (6 calls)
% 1.07/1.28 ; 0.034 4% Condensing (92 calls)
% 1.07/1.28 ; 0.013 2% Forward subsumption (92 calls)
% 1.07/1.28 ; 0.012 1% Backward subsumption (92 calls)
% 1.07/1.28 ; 0.123 15% Clause clause subsumption (1,230 calls)
% 1.07/1.28 ; 0.012 1% Forward simplification (102 calls)
% 1.07/1.28 ; 0.002 0% Backward simplification (102 calls)
% 1.07/1.28 ; 0.000 0% Ordering (16 calls)
% 1.07/1.28 ; 0.001 0% Sortal reasoning (32 calls)
% 1.07/1.28 ; 0.000 0% Purity testing (1 call)
% 1.07/1.28 ; 0.019 2% Other
% 1.07/1.28 ; 0.814 Total
% 1.07/1.28 ; 0.818 Real time
% 1.07/1.28 ;
% 1.07/1.28 ; Term-hash-array has 79 terms in all.
% 1.07/1.28 ; Feature-vector-row-index has 90 entries (91 at peak, 92 added, 2 deleted).
% 1.07/1.28 ; Feature-vector-row-index has 279 nodes (286 at peak, 292 added, 13 deleted).
% 1.07/1.28 ; Retrieved 592 possibly forward subsuming rows in 92 calls.
% 1.07/1.28 ; Retrieved 638 possibly backward subsumed rows in 92 calls.
% 1.07/1.28 ; Path-index has 81 entries (81 at peak, 83 added, 2 deleted).
% 1.07/1.28 ; Path-index has 75 nodes (75 at peak, 79 added, 4 deleted).
% 1.07/1.28 ; Trie-index has 81 entries (81 at peak, 83 added, 2 deleted).
% 1.07/1.28 ; Trie-index has 93 nodes (93 at peak, 99 added, 6 deleted).
% 1.07/1.28 ; Retrieved 5 generalization terms in 19 calls.
% 1.07/1.28 ; Retrieved 9 instance terms in 9 calls.
% 1.07/1.28 ; Retrieved 370,078 unifiable terms in 80,816 calls.
% 1.07/1.28 ;
% 1.07/1.28 ; The agenda of rows to process has 2 entries:
% 1.07/1.28 ; 2 with value 13
% 1.07/1.28 ; The agenda of rows to give has 3 entries:
% 1.07/1.28 ; 1 with value (4 13) 1 with value (4 24) 1 with value (4 30)
% 1.07/1.28 Evaluation took:
% 1.07/1.28 0.818 seconds of real time
% 1.07/1.28 0.805094 seconds of user run time
% 1.07/1.28 0.013056 seconds of system run time
% 1.07/1.28 [Run times include 0.018 seconds GC run time.]
% 1.07/1.28 0 calls to %EVAL
% 1.07/1.28 0 page faults and
% 1.07/1.28 87,312,704 bytes consed.
% 1.07/1.28 :PROOF-FOUND
% 1.07/1.28 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T11:43:44
% 1.07/1.28 :PROOF-FOUND
% 1.07/1.28 *
%------------------------------------------------------------------------------